Generalized thermoelastic waves in orthotropic plates without energy dissipation

A dynamic solution of the propagating thermoelastic waves in an orthotropic plate subjected to stress-free, isothermal boundary conditions is presented in the context of the Green-Naghdi (GN) generalized thermoelastic theory. The plate is composed of orthotropic material. The coupled wave equation and heat conduction equation are solved by the Legendre orthogonal polynomial series expansion approach. The convergency of the method is discussed through a numerical example. The dispersion curves of the thermoelastic plate and the corresponding pure elastic plate are compared to show the characteristics of thermal modes and the influence of the thermoelasticity on elastic modes. The displacement, temperature and stress distributions of elastic modes and thermal modes are shown to discuss their differences.